HARD
10th CBSE
IMPORTANT
Earn 100

One year ago, man was 8 times as old as his son. Now, his age is equal to the square of his son’s age. Find their present ages.

Important Questions on Quadratic Equations

HARD
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 38
A man is 312 times as old as his son. If the sum of the squares of their ages is 1325, find the ages of the father and the son.
HARD
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 39
The sum of reciprocals of Meena’s ages (in years) 3 years ago and 5 years hence is 13. Find her present age.
HARD
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 40
The sum of the ages of a boy and his brother is 25 years, and the product of their ages in years is 126. Find their ages.
HARD
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 41
The product of Tanvy’s age (in years) 5 years ago and her age is 8 years later is 30. Find her present age.
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 42
Two years ago, man’s age was three times the square of his son’s age. In three years’ time, his age will be four time his son’s age. Find their present ages.
HARD
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 43
A truck covers a distance of 150 km at a certain average speed and then covers another 200 km at an average speed which is 20 km per hour more than the first speed. If the truck covers the total distance in 5 hours, find the first speed of the truck.
HARD
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 44
While boarding an aeroplane, a passengers got hurt. The pilot showing promptness and concern, made arrangements to hospitalize the injured and so the plane started late by 30 minutes. To reach the destination, 1500 km away, in time, the pilot increased the speed by 100 km/hour. Find the original speed of the plane. Do you appreciate the values shown by the pilot, namely promptness in providing help to the injured and his efforts to reach in time?
HARD
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 45
A train covers a distance of 480 km at a uniform speed. If the speed had been 8 km/hr less then it would have taken 3 hours more to cover the same distance. Find the usual speed of the train.